COMEDK · Maths · 1. Basic of Mathematics
\(7^{2 \log _{7} 5}\) is equal to
- A 5
- B \(\log _{7} 35\)
- C \(\log _{7} 25\)
- D 25
Answer & Solution
Correct Answer
(D) 25
Step-by-step Solution
Detailed explanation
We have, \(7^{2 \log 5} 5\) \(=7^{\log _{7} 5^{2}}\) \(=5^{2}\) [ \(m \log a=\log a^{m}\) ] \(\left[a^{\log _{a} b}=b\right]\) \(=25\)
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